Entropy of the Randall-Sundrum black brane world to all orders in the Planck length
arXiv:0705.2733 · doi:10.1088/0264-9381/25/7/075010
Abstract
We study the effects, to all orders in the Planck length from a generalized uncertainty principle (GUP), on the statistical entropy of massive scalar bulk fields in the Randall-Sundrum black brane world. We show that the Bekenstein-Hawking area law is not preserved, and contains small corrections terms proportional to the black hole inverse area.
arXiv comment19 pages, 1 figure. (v2): section 4 improved
References in corpus (42)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Quantum gravity and minimum length
- A Generalized Uncertainty Principle in Quantum Gravity
- Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
- Noncommutative geometry inspired Schwarzschild black hole
- The algebraic structure of the generalized uncertainty principle
- Quantum Groups, Gravity, and the Generalized Uncertainty Principle
- Brane-World Black Holes
- Minimal Length Uncertainty Relation and Ultraviolet Regularisation
- An Introduction to Noncommutative Spaces and their Geometry
- Exact Description of Black Holes on Branes
- Feynman Path Integral on the Noncommutative Plane
- Quantum-corrected black hole thermodynamics to all orders in the Planck length
- Quantum Black Holes as Holograms in AdS Braneworlds
- UV divergence-free QFT on noncommutative plane
- Exact Description of Black Holes on Branes II: Comparison with BTZ Black Holes and Black Strings
- Charged Brane-World Black Holes
- A model of radiating black hole in noncommutative geometry
- Interpretation of Quantum Field Theories with a Minimal Length Scale
- Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
- Self-consistency in Theories with a Minimal Length
- Quest for Localized 4-D Black Holes in Brane Worlds
- Running Coupling with Minimal Length
- Entropy of the Schwarzschild black hole to all orders in the Planck length
- Static Solutions for Brane Models with a Bulk Scalar Field
- Black holes thermodynamics to all orders in the Planck length in extra dimensions
- Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
- Black holes in the brane world:Time symmetric initial data
- Quest for Localized 4-D Black Holes in Brane Worlds. II : Removing the bulk singularities
- Noncommutative and Non-Anticommutative Quantum Field Theory
- Entropy of (2+1)-dimensional de Sitter black hole to all orders in the Planck length
- Brick Walls on the Brane
- Black Hole Production at the LHC by Standard Model Bulk Fields in the Randall-Sundrum Model
- High-energy effects on the spectrum of inflationary gravitational wave background in braneworld cosmology
- Gravitational waves and cosmological braneworlds: a characteristic evolution scheme
- Mass spectrum of primordial black holes from inflationary perturbation in the Randall-Sundrum braneworld: a limit on blue spectra
- Braneworlds and Dark Energy
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- GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
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